(1)
1/x+1 +3/2-x=0
1/x+1 =3/(x-2)
x-2=3(x+1)
2x=-5
x=-5/2
(2)
12/(1-9x^2)-(3x+1)/(3x-1)=(1-3x)/(1+3x)
12+(3x+1)^2-(1-3x)^2=0
12+12x=0
x=-1